KCET · Physics · Motion In One Dimension
The S.I. unit of specific heat capacity is
- A \( \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1} \)
- B \( \mathrm{J} k g^{-1} K^{-1} \)
- C \( J K^{-1} \)
- D J \( k g^{-1} \)
Answer & Solution
Correct Answer
(B) \( \mathrm{J} k g^{-1} K^{-1} \)
Step-by-step Solution
Detailed explanation
Specific heat is the amount of heat required to raise the temperature of one kg of mass by \( 1 \mathrm{kelvin} \). The \( \mathrm{SI} \) unit of
specific heat capacity is \( J k g^{-1} K^{-1} \). We know that
\( \mathrm{Q}=\mathrm{Cm} \Delta \mathrm{T} \)
where \( Q \) is heat; \( C \) is specific heat; \( m \) is mass (in \( \mathrm{kg} \) ); \( \Delta T \) is change in temperature (in kelvin)
\( \Rightarrow C=\frac{Q}{m \Delta T} \mathrm{~T} \)
Therefore, SI unit of specific heat capacity is \( J k g^{-1} K^{-1} \)
specific heat capacity is \( J k g^{-1} K^{-1} \). We know that
\( \mathrm{Q}=\mathrm{Cm} \Delta \mathrm{T} \)
where \( Q \) is heat; \( C \) is specific heat; \( m \) is mass (in \( \mathrm{kg} \) ); \( \Delta T \) is change in temperature (in kelvin)
\( \Rightarrow C=\frac{Q}{m \Delta T} \mathrm{~T} \)
Therefore, SI unit of specific heat capacity is \( J k g^{-1} K^{-1} \)
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